The present invention relates to a rotary exposure machine (14), comprising: a guide bed (26); means (15, 16) for rotably supporting a round screen (1) on the guide bed (26); driving means (19, 20) for rotably driving the round screen (1); an optical slide (21) moved along guides (22) while the round screen (1) is turning, the guides (22) are mounted on the guide bed (26); and a laser (27) for exposing a photosensitive coating layer (L) provided on the outer surface of the round screen (1), wherein the laser (27) is carried along with the optical slide (21).